22201121111120 has 320 divisors, whose sum is σ = 63501135667200. Its totient is φ = 7048461680640.

The previous prime is 22201121111069. The next prime is 22201121111129. The reversal of 22201121111120 is 2111112110222.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22201121111129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 384532655 + ... + 384590385.

It is an arithmetic number, because the mean of its divisors is an integer number (198441048960).

Almost surely, 2^{22201121111120} is an apocalyptic number.

22201121111120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22201121111120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31750567833600).

22201121111120 is an abundant number, since it is smaller than the sum of its proper divisors (41300014556080).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22201121111120 is a wasteful number, since it uses less digits than its factorization.

22201121111120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58586 (or 58580 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 22201121111120 its reverse (2111112110222), we get a palindrome (24312233221342).

The spelling of 22201121111120 in words is "twenty-two trillion, two hundred one billion, one hundred twenty-one million, one hundred eleven thousand, one hundred twenty".